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Calculus II (Practice Problems) / Vectors / Dot Product   [Notes] [Practice Problems] [Assignment Problems]

Calculus II - Practice Problems
Series & Sequences Previous Chapter   Next Chapter 3-Dimensional Space
Vector Arithmetic Previous Section   Next Section Cross Product

 Dot Product

 

For problems 1  3 determine the dot product, .

 

1. ,    [Solution]

 

2.  ,    [Solution]

 

3. ,  and  the angle between the two vectors is  . [Solution]

 

For problems 4 & 5 determine the angle between the two vectors.

 

4. ,    [Solution]

 

5. ,   [Solution]

 

For problems 6  8 determine if the two vectors are parallel, orthogonal or neither.

 

6. ,    [Solution]

 

7. ,    [Solution]

 

8. ,  [Solution]

 

9. Given  and  compute . [Solution]

 

10. Given  and  compute . [Solution]

 

11. Determine the direction cosines and direction angles for [Solution]

 

Problem Pane
Vector Arithmetic Previous Section   Next Section Cross Product
Series & Sequences Previous Chapter   Next Chapter 3-Dimensional Space

Calculus II (Practice Problems) / Vectors / Dot Product    [Notes] [Practice Problems] [Assignment Problems]

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